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Finding the Fourth Proportional to 6,272.16, 8,656.32 and 3,477.84

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Solution

The fourth proportional to 6,272.16, 8,656.32 and 3,477.84 is: 4,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.16 : 8,656.32 = 3,477.84 : x
  2. Step 2: Convert to fraction form
    6,272.16/8,656.32 = 3,477.84/x
  3. Step 3: Cross multiply
    6,272.16x = 8,656.32 × 3,477.84
  4. Step 4: Simplify right side
    6,272.16x = 30,105,295.95
  5. Step 5: Solve for x
    x = 30,105,295.95/6,272.16
  6. Step 6: Final answer
    x = 4,799.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.